On the Riemann--Hilbert--Birkhoff inverse monodromy problem and the Painlevé equations

DOI10.1090/S1061-0022-04-00845-3zbMath1077.34089MaRDI QIDQ4675547

A. A. Bolibrukh, Alexander R. Its, Andrei A. Kapaev

Publication date: 4 May 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Painlevé equationsisomonodromy deformationsStokes multipliersRiemann-Hilbert-Birkhoff inverse monodromy problem

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (10)

Monodromy dependence and connection formulae for isomonodromic tau functions ⋮ The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent ⋮ On the Riemann-Hilbert problem with a piecewise constant matrix ⋮ On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential ⋮ Global meromorphy of solutions of the Painlevé equations and their hierarchies ⋮ Corrections to ``On the Riemann--Hilbert--Birkhoff inverse monodromy problem and the Painlevé equations ⋮ On the generalized Riemann--Hilbert problem with irregular singularities ⋮ The τ-function of the Ablowitz-Segur family of solutions to Painlevé II as a Widom constant ⋮ On the origins of Riemann–Hilbert problems in mathematics* ⋮ Singular asymptotics for solutions of the inhomogeneous Painlevé II equation

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